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arXiv · 2311.10659

Bender-Knuth involutions for types B and C

Álvaro Gutiérrez
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Abstract

We show that the combinatorial definitions of King and Sundaram of the symmetric polynomials of types B and C are indeed symmetric, in the sense that they are invariant by the action of the Weyl groups. Our proof is combinatorial and inspired by Bender and Knuth's classic involutions for type A.

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Álvaro Gutiérrez. 2025-09-20. Bender-Knuth involutions for types B and C. https://doi.org/10.37236/12571

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